Finding the Third Proportional to 41,686 and 62,414.38

Step by Step Solution

1. Step 1: Write the proportion equation
   41,686 : 62,414.38 = 62,414.38 : x
2. Step 2: Convert to fraction form
   41,686/62,414.38 = 62,414.38/x
3. Step 3: Cross multiply
   41,686x = 62,414.38 × 62,414.38
4. Step 4: Simplify right side
   41,686x = 3,895,554,206.64
5. Step 5: Solve for x
   x = 3,895,554,206.64/41,686
6. Step 6: Final answer
   x = 93,449.94